Least Common Multiple of 363/47, 891/42, 779/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 363/47, 891/42, 779/10 quickly i.e. 7634979 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/47, 891/42, 779/10 is 7634979.

LCM(363/47, 891/42, 779/10) = 7634979

LCM of 363/47, 891/42, 779/10

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 363/47,891/42,779/10

Given numbers are 363/47,891/42,779/10

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 363,891,779

Least Common Multiple of Numerators i.e. LCM of 363,891,779 is 7634979.

GCF of Denominators means GCF of 47,42,10 as per the given fractions.

GCF of 47,42,10 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,891,779

LCM of Fractions 363/47,891/42,779/10 is 7634979

3 363, 891, 779
11 121, 297, 779
11, 27, 779

∴ So the LCM of the given numbers is 3 x 11 x 11 x 27 x 779 = 7634979

Least Common Multiple of 363,891,779 with GCF Formula

Least Common Multiple of 363,891,779 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 363,891,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,891,779) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(363,891,779) x common factors =1 x 33 = 33

LCM(363,891,779) = ( 363 × 891 × 779 ) / 33

LCM(363,891,779) = 251954307 / 33

LCM(363,891,779) = 7634979


Lets's calculate GCF of 47,42,10

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7634979/1

Therefore the LCM of Fractions 363/47,891/42,779/10 is 7634979

Greatest Common Factor of 47,42,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,42,10 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 47,42,10 . The biggest common factor number is the GCF number.
So the greatest common factor 47,42,10 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 363/47, 891/42, 779/10

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 363/47, 891/42, 779/10?

Answer: LCM of Numerators as per given numbers 363/47, 891/42, 779/10 is

LCM of Numerators i.e. for 363,891,779 is 7634979

GCF of denominators i.e. for 47,42,10 is 1.

Thus, LCM of Fractions is 7634979.Finally, LCM of Fractions for 363/47, 891/42, 779/10 is 7634979.